On the structure of automorphism groups of some low-dimensional Leibniz algebras
Abstract
UDC 512.554
Let $L$ be an algebra over a field $F$ with binary operations $+$ and $[,]$. $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. We study he structure of the group of automorphisms of $3$-dimensional Leibniz algebras with nilpotency class $2$ and a one-dimensional center.
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